638211 ÷ 13 
We want to figure out the number of times 638211 can be divided by 13.

Advancing to step 1:
13 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 13

Moving on to step 2:
The number 13 fits into 63 4 times, leaving a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 52 from 63 leaves us with 11.
Include the next digit (8) from the dividend after 11, then repeat: 118 / 13

Moving on to step 3:
If we divide 118 by 13, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 49.0
Subtracting 117 from 118 leaves us with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 13

On to step 4:
13 goes into 12 0 times with a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 490.0
Subtract 0 from 12 to get 12.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 13

On to step 5:
When dividing 121 by 13, we get 9 with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 4909.0
The remainder is 4 after subtracting 117 from 121.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 13

Going ahead to step 6:
41 divided by 13 is 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 49093.0
If we subtract 39 from 41, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
If we divide 20 by 13, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 49093.1
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 8:
70 divided by 13 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 49093.15
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
50 divided by 13 is 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 49093.153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 10:
If we divide 110 by 13, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 49093.1538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
13 goes into 60 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 49093.15384
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 12:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 49093.153846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 13:
When dividing 20 by 13, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 49093.1538461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 14:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 49093.15384615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 49093.15384615 with a remainder of 5e-09.